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The year 2018 price of a fast food meal at a certain restaurant is given below. Find the estimated future prices required to fill the blanks in the chart.

The year 2018 price of a fast food meal at a certain restaurant is given below Find the estimated future prices required to fill the blanks in the chart class=

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Answer:

  • 2024, 4%: $5.45
  • 2030, 4%: $6.90
  • 2024, 11%: $8.06
  • 2030, 11%: $15.08

Step-by-step explanation:

You want the estimated prices of a $4.31 meal 6 and 12 years after 2018 for inflation rates of 4% and 11%.

Future value

The future value of the mean is given by ...

  FV = P(1 +r)^t

where P is the current price, r is the inflation rate, and t is the number of years.

In this problem, P = 4.31, r is one of 0.04 or 0.11, and t is one of 6 or 12. Then, for example, the price in 2030 at 11% will be ...

  FV = 4.31(1+0.11)^12 ≈ 15.08

The prices of interest are ...

  • 2024, 4%: $5.45
  • 2030, 4%: $6.90
  • 2024, 11%: $8.06
  • 2030, 11%: $15.08

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Additional comment

For repetitive calculations like this, it is convenient to use a calculator or spreadsheet.

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